Practicing Success
Practicing Success
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If, $\vec a,\vec b,\vec c,\vec d$ are any four vectors, then $(\vec a×\vec b) × (\vec c×\vec d)$ is a vector |
perpendicular to $\vec a,\vec b,\vec c,\vec d$ along the line of intersection of the plane determined $\vec a,\vec b$ and the other determined by $\vec c$ and $\vec d$. equally inclined to $\vec a,\vec b,\vec c,\vec d$ none of these |
along the line of intersection of the plane determined $\vec a,\vec b$ and the other determined by $\vec c$ and $\vec d$. |
Clearly $\vec a×\vec b$ is perpendicular to the plane containing $\vec a$ and $\vec b$. Also, $\vec c×\vec d$ is perpendicular to the plane containing $\vec c$ and $\vec d$. Therefore, $(\vec a×\vec b) × (\vec c×\vec d)$ is along the line of intersection of the planes determined by $\vec a$ and $\vec b$ and the other determined by $\vec c$ and $\vec d$. |
